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Regional Economic Birch-Swinnerton-Dyer Modelling: A Local-to-Global Framework for Structural Rank Formation, Corridor Stress and World-Economy Calibration

Author

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  • Gondauri, Davit

Abstract

This study develops a regional economic Birch-Swinnerton-Dyer-inspired framework for measuring the world economy as a local-to-global structural system rather than as a set of isolated GDP aggregates. The framework does not claim to prove, test or replicate the classical Birch-Swinnerton-Dyer conjecture. Instead, it translates its local-to-global measurement logic into a transparent economic analogue in which public macro-regional anchors are transformed into systemic-stress components, weighted regional-network structure, economic curve coefficients, discriminant diagnostics, finite-state trace analogues, Euler-factor analogues, a constructed economic L-function and an L-order measure. The empirical universe consists of a World normalisation anchor and ten macro-regional/corridor nodes, with an N = 150 regional-year closure layer used for calibration, robustness diagnostics and claim discipline. The central result is that local regional reductions, represented by finite-state regimes rather than literal arithmetic reductions over finite fields, contain measurable information about structural economic rank formation. Structural rank is constructed from productive, Hodge-flow, network and agentic components and is compared with the L-order analogue through rank gaps, agreement diagnostics, sensitivity checks and placebo logic. The model further introduces regulator, Tamagawa-type friction, torsion, BridgeStress, scenario-threshold and action-concentration diagnostics to distinguish output mass, absorption capacity, locked capacity, corridor leverage and systemic transmission exposure. Results support a strong calibrated measurement claim: local regional signals and Euler-factor information are informative about global structural rank under a disciplined analogue architecture. At the same time, robust inference and external proxy layers are interpreted conservatively; weak p-values, small regional clusters, circularity risk and directional external screening are not upgraded into causal or theorem-level confirmation. The contribution is therefore methodological and empirical: a reproducible regional BSD-inspired measurement architecture for structural rank, corridor stress and local-to-global macroeconomic calibration.

Suggested Citation

  • Gondauri, Davit, 2026. "Regional Economic Birch-Swinnerton-Dyer Modelling: A Local-to-Global Framework for Structural Rank Formation, Corridor Stress and World-Economy Calibration," EconStor Preprints 341570, ZBW - Leibniz Information Centre for Economics.
    • Handle: RePEc:zbw:esprep:341570
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    References listed on IDEAS

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    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C67 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Input-Output Models
    • F14 - International Economics - - Trade - - - Empirical Studies of Trade
    • F15 - International Economics - - Trade - - - Economic Integration
    • F17 - International Economics - - Trade - - - Trade Forecasting and Simulation
    • O18 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Urban, Rural, Regional, and Transportation Analysis; Housing; Infrastructure
    • O47 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Empirical Studies of Economic Growth; Aggregate Productivity; Cross-Country Output Convergence
    • R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • R41 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - Transportation: Demand, Supply, and Congestion; Travel Time; Safety and Accidents; Transportation Noise

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